document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204069>Question 1204069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A, B and C are consecutive natural numbers. If 2/7 of the reciprocal of A is equal to ⅓ of the reciprocal of C, find B.​<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840080 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=840080\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Consecutive numbers follow one right after another. <BR>\n" );
document.write( "An example would be 7,8,9.\r<BR>\n" );
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document.write( "A,B,C are consecutive natural numbers from the set {1,2,3,4,...}\r<BR>\n" );
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document.write( "Since B follows right after A, we can state: B = A+1<BR>\n" );
document.write( "Also C = B+1 = (A+1)+1 = A+2\r<BR>\n" );
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document.write( "The sequence A, B, C is the same as A, A+1, A+2.\r<BR>\n" );
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document.write( "(2/7)*(reciprocal of A) = (1/3)*(reciprocal of C)<BR>\n" );
document.write( "(2/7)*(1/A) = (1/3)*(1/C)<BR>\n" );
document.write( "2/(7A) = (1/3)*(1/(A+2))<BR>\n" );
document.write( "2/(7A) = 1/(3(A+2))<BR>\n" );
document.write( "2*3(A+2) = 7A*1 .... cross multiplication<BR>\n" );
document.write( "6A+12 = 7A<BR>\n" );
document.write( "12 = 7A-6A<BR>\n" );
document.write( "12 = A<BR>\n" );
document.write( "A = 12\r<BR>\n" );
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document.write( "If A = 12, then,<BR>\n" );
document.write( "B = A+1 = 12+1 = 13<BR>\n" );
document.write( "C = A+2 = 12+2 = 14\r<BR>\n" );
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document.write( "In short<BR>\n" );
document.write( "A = 12<BR>\n" );
document.write( "<font color=red>B = 13</font><BR>\n" );
document.write( "C = 14\r<BR>\n" );
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document.write( "Let's check to see if we have the right answer.<BR>\n" );
document.write( "(2/7) of (1/A) = (1/3) of (1/C)<BR>\n" );
document.write( "(2/7)*(1/12) = (1/3)*(1/14)<BR>\n" );
document.write( "(2*1)/(7*12) = (1*1)/(3*14)<BR>\n" );
document.write( "(2*1)/(7*2*6) = (1*1)/(3*14)<BR>\n" );
document.write( "1/42 = 1/42<BR>\n" );
document.write( "We have confirmed the answer is correct.\r<BR>\n" );
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document.write( "Answer: <font color=red size=4>B = 13</font><BR>\n" );
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